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Simplifying 2(-4 + -4i) + (2 + 4i) = 0 (-4 * 2 + -4i * 2) + (2 + 4i) = 0 (-8 + -8i) + (2 + 4i) = 0 Remove parenthesis around (2 + 4i) -8 + -8i + 2 + 4i = 0 Reorder the terms: -8 + 2 + -8i + 4i = 0 Combine like terms: -8 + 2 = -6 -6 + -8i + 4i = 0 Combine like terms: -8i + 4i = -4i -6 + -4i = 0 Solving -6 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4i = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4i = 0 + 6 -4i = 0 + 6 Combine like terms: 0 + 6 = 6 -4i = 6 Divide each side by '-4'. i = -1.5 Simplifying i = -1.5
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